Multiple Scattering Methods in Casimir Calculations

Simple item page
dc.creatorMilton, Kimball A.
dc.creatorWagner, Jef
dc.date2007-12-21
dc.date2008-02-26
dc.date.accessioned2026-07-07T11:13:54Z
dc.date.available2026-07-07T11:13:54Z
dc.descriptionMultiple scattering formulations have been employed for more than 30 years as a method of studying the quantum vacuum or Casimir interactions between distinct bodies. Here we review the method in the simple context of $δ$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling, a semitransparent boundary becomes a Dirichlet one.) After applying the method to rederive the Casimir force between two semitransparent plates and the Casimir self-stress on a semitransparent sphere, we obtain expressions for the Casimir energies between disjoint parallel semitransparent cylinders and between disjoint semitransparent spheres. Simplifications occur for weak and strong coupling. In particular, after performing a power series expansion in the ratio of the radii of the objects to the separation between them, we are able to sum the weak-coupling expansions exactly to obtain explicit closed forms for the Casimir interaction energy. The same can be done for the interaction of a weak-coupling sphere or cylinder with a Dirichlet plane. We show that the proximity force approximation (PFA), which becomes the proximity force theorem when the objects are almost touching, is very poor for finite separations.
dc.description21 pages, 7 figures, ReVTEX. Introduction shortened, Appendix A expanded, references added
dc.identifierhttps://arxiv.org/abs/0712.3811
dc.identifierhttp://arxiv.org/abs/0712.3811
dc.identifierJ.Phys.A41:155402,2008
dc.identifierdoi:10.1088/1751-8113/41/15/155402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/191881
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleMultiple Scattering Methods in Casimir Calculations
dc.typetext

Files

Collections

arXiv